Quiz 2 (6-18-14)
1. Kenyanna was being chased by her dog Chanel. The distance between Kenyanna and
her dog is decreasing at constant rate of 6 meters per second. After 2 minutes of
chasing, Chanel is 100 meters away from Kenyanna.
(a) Plot this point. Then plot the point that represents the situation after 2 minutes
and 30 seconds of chasing. Finally plot the point that represents the situation after
1 minute of chasing.
(b) Use point-slope form to find the equation of the line that represents the distance
between Kenyanna and her dog.
(c) Put this line in slope-intercept form.
(d) How far apart were Kenyanna and her dog when the chasing began?
(e) At what time will Chanel catch Kenyanna?
2.) As Mike travels his distance from home is given in miles by the function
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d(t) = t2 − t
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where t is time measured in hours. What is his average speed between 2 and 4 hours of
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traveling? (In other words, what is the average rate of change of d(t) = t2 − t over the
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interval [2, 4]?)
3.) Bonus: Draw the diagram that illustrates the fact that (a + b)2 = a2 + 2ab + b2 .
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